Atkin-Lehner |
3+ 5+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
128775a |
Isogeny class |
Conductor |
128775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22656 |
Modular degree for the optimal curve |
Δ |
-3476925 = -1 · 34 · 52 · 17 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63,186] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-7:1] [-58:169:8] |
Generators of the group modulo torsion |
j |
-1107225625/139077 |
j-invariant |
L |
6.1224194356492 |
L(r)(E,1)/r! |
Ω |
2.4286950087604 |
Real period |
R |
1.2604339809941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128775e1 |
Quadratic twists by: 5 |